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Finding the Fourth Proportional to 61,834.36, 85,323.66 and 36,679

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Solution

The fourth proportional to 61,834.36, 85,323.66 and 36,679 is: 50,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,834.36 : 85,323.66 = 36,679 : x
  2. Step 2: Convert to fraction form
    61,834.36/85,323.66 = 36,679/x
  3. Step 3: Cross multiply
    61,834.36x = 85,323.66 × 36,679
  4. Step 4: Simplify right side
    61,834.36x = 3,129,586,525.14
  5. Step 5: Solve for x
    x = 3,129,586,525.14/61,834.36
  6. Step 6: Final answer
    x = 50,612.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.